You work for a nuclear research laboratory that is contemplating leasing a diagnostic scanner $($leasing is a very common practice with expensive, high$-$tech equipment$).$ The scanner costs $$5,000,000,$ and it would be depreciated straight$-$line to zero over four years. Because of radiation contamination, it actually will be completely valueless in four years. You can borrow at $7$ percent before taxes. Your company does not anticipate paying taxes for the next several years, but the leasing company has a tax rate of $25$ percent. Over what range of lease payments will the lease be profitable for both parties? $($Do not round intermediate calculations and enter your answers from lowest to highest rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Answer is complete but not entirely correct.

Total payment range

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$100,000\mathrm{.}00$ to $ $1,369,863\mathrm{.}00$